𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Quantum algebras, Kravchuk q-polynomials, and Kravchuk-Meixner q-functions

✍ Scribed by V. A. Groza

Book ID
112470800
Publisher
Springer
Year
1992
Tongue
English
Weight
198 KB
Volume
44
Category
Article
ISSN
0041-5995

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Quantum Algebras and q-Special Functions
Quantum Algebras and q-Special Functions
✍ R. Floreanini; L. Vinet 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 543 KB

A quantum-algebraic framework for many \(q\)-special functions is provided. The twodimensional Euclidean quantum algebra, \(s l_{4}(2)\) and the \(q\)-oscillator algebra are considered. Realizations of these algebras in terms of operators acting on vector spaces of functions in one complex variable

Discrete Reflectionless Potentials, Quan
Discrete Reflectionless Potentials, Quantum Algebras, and q-Orthogonal Polynomials
✍ V. Spiridonov; A. Zhedanov 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 904 KB

Using Darboux transformations for the lattice Schrödinger equation, we construct two families of discrete reflectionless potentials with \(j\) and \(2 j\) bound states (solitons). These potentials are related to the exceptional Askey-Wilson polynomials. In the continuous limit they are reduced to th